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Question

If we take units of mass, length and time as 2 kg, 2 m and 2 s respectively then the unit of energy will be

A
8 J
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B
6 J
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C
4 J
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D
2 J
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Solution

The correct option is D 2 J
We know the dimensional formula of energy,
[E]=[M1L2T2]
For this, the unit of energy is 1 J.
If units of mass, length and time becomes 2 kg, 2 m and 2 s respectively then the new dimension of energy will be,
[E]=[(2M)1(2L)2(2T)2]
[E]=2[M1L2T2]=2[E]
For this, the unit of energy will be 2 J.

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